18x^2y/24xy= eching

$$\frac { 18 x ^ { 2 } y } { 24 x y } =$$

Baholash

$$\frac{3x}{4}$$

Tartib xususiyati koeffitsientidan foydalanish qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{18^{1}x^{2}y^{1}}{24^{1}x^{1}y^{1}}$$

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

$$\frac{18^{1}}{24^{1}}x^{2-1}y^{1-1}$$

2 dan 1 ni ayirish.

$$\frac{18^{1}}{24^{1}}x^{1}y^{1-1}$$

1 dan 1 ni ayirish.

$$\frac{18^{1}}{24^{1}}xy^{0}$$

Har qanday a raqami uchun (0 bundan mustasno) a^{0}=1.

$$\frac{18^{1}}{24^{1}}x$$

\frac{18}{24} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{3}{4}x$$

x ga nisbatan hosilani topish

$$\frac{3}{4} = 0,75$$

Yechim qadamlari

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{18y}{24y}x^{2-1})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{3}{4}x^{1})$$

Polinomialning hosilasi bu uning shartlari hosilasining yig‘indisiga teng. Konstant shartning hosilasi 0. ax^{n} ning hosilasi nax^{n-1}.

$$\frac{3}{4}x^{1-1}$$

Arifmetik hisobni amalga oshirish.

$$\frac{3}{4}x^{0}$$

Har qanday t sharti uchun (0 bundan mustasno) t^{0}=1.

$$\frac{3}{4}\times 1$$

Har qanday t sharti uchun t\times 1=t va 1t=t.

$$\frac{3}{4}$$